Quant Exam > Quant Questions > If the points (x, y), (1, 2) and (7, 0) are c...
Start Learning for Free
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given by
- a)3x + y + 7 = 0
- b)3x – y – 7 = 0
- c)x – 3y + 7 = 0
- d)x + 3y – 7 = 0
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relati...
and these are collinear
Most Upvoted Answer
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relati...
To determine the relation between x and y, we can use the concept of slope. If three points are collinear, then the slope between any two points should be the same.
Let's find the slope between the points (1, 2) and (7, 0):
slope = (y2 - y1) / (x2 - x1)
= (0 - 2) / (7 - 1)
= -2 / 6
= -1/3
Now, let's use this slope to determine the relation between x and y.
Explanation:
- The equation of a line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept.
- We can rewrite this equation as y - mx - c = 0.
- Since the points (x, y), (1, 2), and (7, 0) are collinear, the equation of the line passing through these points can be written as:
(y - 2) / (x - 1) = -1/3
Now, let's simplify this equation:
Cross-multiplying, we get:
3(y - 2) = -(x - 1)
3y - 6 = -x + 1
3y + x = 7
Rearranging the terms, we get:
x + 3y = 7
Comparing this equation with the given options, we can see that the correct answer is option 'D': x + 3y - 7 = 0.
Therefore, the relation between x and y is given by:
x + 3y - 7 = 0
Let's find the slope between the points (1, 2) and (7, 0):
slope = (y2 - y1) / (x2 - x1)
= (0 - 2) / (7 - 1)
= -2 / 6
= -1/3
Now, let's use this slope to determine the relation between x and y.
Explanation:
- The equation of a line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept.
- We can rewrite this equation as y - mx - c = 0.
- Since the points (x, y), (1, 2), and (7, 0) are collinear, the equation of the line passing through these points can be written as:
(y - 2) / (x - 1) = -1/3
Now, let's simplify this equation:
Cross-multiplying, we get:
3(y - 2) = -(x - 1)
3y - 6 = -x + 1
3y + x = 7
Rearranging the terms, we get:
x + 3y = 7
Comparing this equation with the given options, we can see that the correct answer is option 'D': x + 3y - 7 = 0.
Therefore, the relation between x and y is given by:
x + 3y - 7 = 0
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer?
Question Description
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer?.
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer?.
Solutions for If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the points (x, y), (1, 2) and (7, 0) are collinear, then the relation between ‘x’ and ‘y’ is given bya)3x + y + 7 = 0b)3x – y – 7 = 0c)x – 3y + 7 = 0d)x + 3y – 7 = 0Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup